On the upper semicontinuity of pullback attractors with applications to plate equations

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November 2010, 9(6): 1653-1673. doi: 10.3934/cpaa.2010.9.1653

On the upper semicontinuity of pullback attractors with applications to plate equations

1.	Department of Applied Mathematics, Donghua University, Shanghai, Songjiang, 201620, China

Received January 2010 Revised April 2010 Published August 2010

Abstract
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In this paper, we give a technic method for verifying the upper semicontinuity of pullback attractors of dynamical systems under small nonautonomous perturbations. The method we give is suitable, in some sense, for weakly dissipative dynamical systems. And, we apply our result to plate equations.

Keywords: Pullback attractor, upper semicontinuity, contractive function, plate equation..

Mathematics Subject Classification: 37L05, 35B40, 35B4.

Citation: Yonghai Wang. On the upper semicontinuity of pullback attractors with applications to plate equations. Communications on Pure & Applied Analysis, 2010, 9 (6) : 1653-1673. doi: 10.3934/cpaa.2010.9.1653

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